{
  "abstract": "We prove that transcendental entire functions do not have bounded-orbit wandering domains. This answers a long-standing open question. In fact, we prove a more general theorem, establishing the absence of certain wandering domains even for locally defined analytic functions. The proof is based on a recent remarkable argument of Ye, who obtained an elementary proof of Sullivan's classical theorem that rational maps do not have wandering domains.",
  "abstract_shown": true,
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  "article_type": null,
  "arxiv": "2609.28279",
  "author_total": 3,
  "authors": [
    {
      "name": "Nikolai Prochorov"
    },
    {
      "name": "Lasse Rempe"
    },
    {
      "name": "James Waterman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4wnhfhh12wbqw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28279",
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  "id": "4wnhfhh12wbqw",
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  "landing_url": "https://arxiv.org/abs/2609.28279",
  "language": null,
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
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      "arxiv",
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      "openalex",
      "2610|Mathematical Dynamics and Fractals"
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  "pdf_url": "https://arxiv.org/pdf/2609.28279",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4wnhfhh12wbqw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.28279",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28279"
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  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Absence of bounded-orbit wandering domains",
  "title_text": "Absence of bounded-orbit wandering domains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/4wnhfhh12wbqw",
  "venue": "arXiv",
  "versions": []
}